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Finding the Fourth Proportional to 12,288.50, 16,952.78 and 7,809.85

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Solution

The fourth proportional to 12,288.50, 16,952.78 and 7,809.85 is: 10,774.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.50 : 16,952.78 = 7,809.85 : x
  2. Step 2: Convert to fraction form
    12,288.50/16,952.78 = 7,809.85/x
  3. Step 3: Cross multiply
    12,288.50x = 16,952.78 × 7,809.85
  4. Step 4: Simplify right side
    12,288.50x = 132,398,668.88
  5. Step 5: Solve for x
    x = 132,398,668.88/12,288.50
  6. Step 6: Final answer
    x = 10,774.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.